16x^2-13x+234=0

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Solution for 16x^2-13x+234=0 equation:


Simplifying
16x2 + -13x + 234 = 0

Reorder the terms:
234 + -13x + 16x2 = 0

Solving
234 + -13x + 16x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
16 the coefficient of the squared term: 

Divide each side by '16'.
14.625 + -0.8125x + x2 = 0

Move the constant term to the right:

Add '-14.625' to each side of the equation.
14.625 + -0.8125x + -14.625 + x2 = 0 + -14.625

Reorder the terms:
14.625 + -14.625 + -0.8125x + x2 = 0 + -14.625

Combine like terms: 14.625 + -14.625 = 0.000
0.000 + -0.8125x + x2 = 0 + -14.625
-0.8125x + x2 = 0 + -14.625

Combine like terms: 0 + -14.625 = -14.625
-0.8125x + x2 = -14.625

The x term is -0.8125x.  Take half its coefficient (-0.40625).
Square it (0.1650390625) and add it to both sides.

Add '0.1650390625' to each side of the equation.
-0.8125x + 0.1650390625 + x2 = -14.625 + 0.1650390625

Reorder the terms:
0.1650390625 + -0.8125x + x2 = -14.625 + 0.1650390625

Combine like terms: -14.625 + 0.1650390625 = -14.4599609375
0.1650390625 + -0.8125x + x2 = -14.4599609375

Factor a perfect square on the left side:
(x + -0.40625)(x + -0.40625) = -14.4599609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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